A rational number is a number that can be written as a ratio. That means it can be written as a fraction, in which both the numerator (the number on top) and the denominator (the number on the bottom) are whole numbers.
A number ‘r’ is called a rational number, if it can be written in the form p/q ,where p and q are integers and q ≠ 0. The collection of rational numbers is denoted by Q.
- The number 6 is a rational number because it can be written as the fraction 6/1.
- Likewise, 6/7 is a rational number because it can be written as a fraction.
- 4,56,32,198/1,11,11,115 is also a rational, because it can be written as a fraction.
Every whole number is a rational number, because any whole number can be written as a fraction. For example, 10 can be written as 10/1, 101 can be written as 101/1, and 9876 can be written as 9876/1.
The set of rational numbers includes all positive numbers, negative numbers and zero that can be written as a ratio (fraction) of one number over another.
Whole numbers, integers, fractions, terminating decimals and repeating decimals are all rational numbers.